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In this work, we formulate a Non-Commutative (NC) extension of AdS-CFTcorrespondence that is manifested in the modification of behavior of aholographic superconductor. The noncommutativity is introduced in the modelthrough the NC corrected AdS charged black hole metric developed by Nicolini,Smailagic and Spallucci. First of all we discuss thermodynamic properties ofthis black hole in Euclidean formalism. In particular, we compute trace of theboundary energy-momentum tensor which, as expected, is non-zero due to the NCscale introduced in the model. Our findings indicate that the non-commutativeeffects tend to work against the black hole hair formation. This, in turn, hasan adverse effect on the holographic superconductor by making thesuperconducting phase more fragile. This is reflected in the reduced value ofthe critical magnetic field and critical temperature. Finally, we comment on aqualitative agreement between our (holographic superconductor) result and thatobtained for a conventional superconductor in NC space in a purely condensedmatter scenario. In both cases noncommutativity tends to oppose thesuperconducting phase.

AdS-CFT Correspondence in Noncommutative background, related thermodynamics and Holographic Superconductor in Magnetic Field